Calculation of Fundamental Mechanical Properties of Single Walled Carbon Nanotube Using Non-Local Elasticity
The non-local formulation of elasticity has been introduced as a correction to the local theory in order to account for long ranged inter-atomic forces. This elasticity theory is useful to estimate the in-plane stiffness of Single Wall Carbon Nanotube. The non- local effect is present in Single Wall Carbon Nanotube through the introduction of a non-local nanoscale which depends of the material and a molecular internal characteristics length. This non-local nanoscale goes to zero at macro scale and hence the non-local effect vanishes with reference to classical mechanics. The resulting from the non-local elasticity theory is verified through molecular simulations results. For this study of non-local theory in analysis of Carbon Nanotube, the value of scale coefficient is about 0.7nm.
K. K. Saxena et al., "Calculation of Fundamental Mechanical Properties of Single Walled Carbon Nanotube Using Non-Local Elasticity", Advanced Materials Research, Vols. 383-390, pp. 3840-3844, 2012